z-logo
open-access-imgOpen Access
Quantization of bi-Hamiltonian systems
Author(s) -
D. J. Kaup,
Peter J. Olver
Publication year - 1990
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.528868
Subject(s) - inverse scattering problem , hamiltonian (control theory) , mathematical physics , quantization (signal processing) , quantum inverse scattering method , soliton , scattering , mathematics , hamiltonian system , covariant hamiltonian field theory , physics , inverse scattering transform , quantum mechanics , nonlinear system , algorithm , mathematical optimization
One of the distinguishing features of soliton equations is the fact that they can be written in Hamiltonian form in more than one way. Here we compare the different quantized versions of the soliton equations arising in the AKNS inverse scattering scheme. It is found that, when expressed in terms of the scattering data, both quantized versions are essentially identical.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.
Having issues? You can contact us here
Accelerating Research

Address

John Eccles House
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom